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Finding the Fourth Proportional to 848.78, 1,265.80 and 739.70

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Solution

The fourth proportional to 848.78, 1,265.80 and 739.70 is: 1,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.78 : 1,265.80 = 739.70 : x
  2. Step 2: Convert to fraction form
    848.78/1,265.80 = 739.70/x
  3. Step 3: Cross multiply
    848.78x = 1,265.80 × 739.70
  4. Step 4: Simplify right side
    848.78x = 936,312.26
  5. Step 5: Solve for x
    x = 936,312.26/848.78
  6. Step 6: Final answer
    x = 1,103.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.